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EnglishWe discuss an atomistic model for heterogeneous nanowires, allowing for dislocations at the interface. We study the limit as the atomic distance converges to zero, considering simultaneously a dimension reduction and the passage from discrete to continuum. Employing the notion of Gamma-convergence, we establish the minimal energies associated to defect-free configurations and configurations with dislocations at the interface, respectively. It turns out that dislocations are favoured if the thickness of the wire is sufficiently large.
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http://hdl.handle.net/20.500.11767/33413| Titolo: | Dislocations in nanowire heterostructures: from discrete to continuum |
| Autori: | Lazzaroni G; Palombaro M; Schlömerkemper A |
| Rivista: | PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS |
| Digital Object Identifier (DOI): | DOI: 10.1002/pamm.201310260 |
| Data di pubblicazione: | 2013 |
| URL: | http://onlinelibrary.wiley.com/doi/10.1002/pamm.201310260/abstract |
| Appare nelle tipologie: | 4.1 Contribution in Conference proceedings |
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